The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.

Answers

Answer 1

Step-by-step explanation:

let x be the number of adults and y number of childrens

so we have. x+y=100 people

and. 12*x+8*y=1056 dollars

x=100-y

replace 100-y to the second equation

12*(100-y)+8y=1056

1200-12y+8y=1056

1200-4y=1055

1200-1056=4y

144=4y

y=144/4=36

so x=100-y=100-36=64

so in this group were 64 adults and 36 childrens

Answer 2

In this group were 64 adults and 36 children.

What is system of equation ?

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

let x be the number of adults and y number of children

so we have. x + y = 100 people

and. 12 × x + 8 × y = 1056 dollars

x=100 - y

replace 100 - y to the second equation

12 × (100 - y) + 8y = 1056

1200 - 12y + 8y = 1056

1200 - 4y = 1055

1200 - 1056 = 4y

144 = 4y

y = 144/4 = 36

so x = 100 - y = 100 - 36 = 64

Hence, in this group were 64 adults and 36 children.

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Related Questions

COILD SOMEONE DO THIS PROBLEM FOR PLEASE!! LOOK AT THE IMAGE ABOVE! Show full work pls it’s due today

Answers

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Fred and Matt are playing basketball. If x represents the points Matt ended with, and 3x represents the points Fred ended with, what does that tell you about the relationship between Matt and Fred’s points?

Answers

It tells you that Fred has three times the score more than Matt.

This is because Matt has x points, Fred tops Matt by 3x points.

238 x 13 please explain the steps too

Answers

Answer:

3094

Step-by-step explanation:

The way that I'm going to do it it's not the traditional

[tex]238\cdot13\\\\\longrightarrow 13=10+3\\\\\Rightarrow 238\cdot(10+3)\\\\=238\cdot(10)+238\cdot(3)\\\\=2380+238\cdot (3)\\\\=2380+(200+30+8)(3)\\\\=2380+(200)(3)+(30)(3)+8(3)\\\\=2380+600+90+24\\\\=2980+90+24\\\\=3004+90\\\\=3094[/tex]

The given table of values represents a linear equation. What is the slope?

PLEASE HELP!

Answers

Answer:

m=2

Step-by-step explanation:

m=change in y/change in x

m=2/1 or 2

answer: 2

what temperature is 12%C hotter than 16%C

Answers

The temperature that 12%C is hotter than 16%C is 4%C


A gallon of gasoline at the local gas station
cost $2.69. If you put 8 gallons of gasoline
in your car, how much will it cost you

Answers

Answer: $21.52

Step-by-step explanation: 2.69 times 8 = $21.52

when x=1, then y = ?​

Answers

Answer: -2

Step-by-step explanation:

Look for 1 on the x-axis and put your finger on it.

Move your finger down until it hits a point on the line.

Look to the left to see which number on y-axis corresponds with the point.

The number is the answer.

(1, -2)

Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real life should be 2 inches in the diagram. Trent's living room is 15 feet long. How long should Trent's living room be in his diagram?

Answers

Answer:

5 feet (60 inches) proportional to 2 inches is a 30:1 relationship.

15 feet (180 inches) in real life should equal 6 inches on the diagram.

180 divided by 30 = 6

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

If a bike goes 12 meters per second (m/s), how fast does it go in km/h?

Answers

So the conversion to meters to kilometers is 0.012 and then you multiple it by 60 because there is 60 seconds and then you multiple that anwser by 60 because there is 60 minutes in a hour then that gets you out to 43.2 km per hour

whats the slope intercept form of y=3x-2

Answers

Slope:3
Y intercept: (0,-2)

Cual es la diferéncienla de resolver un sostiene de 2 y nos de 3

Answers

Answer:

yes

Step-by-step explanation:

Is x=-3 a solution of the equation 2x+4=8+x? Show work
For pre algebra

Answers

Answer:

x= 4 is a solution

Step-by-step explanation:

Answer:

When x = -3 is given, all you need to do is substitute and check if the answers in LHS and RHS are equal.

2x+4=8+x

2(-3)+4=8+(-3)

-6+4=8-3

-2 [tex]\neq[/tex] 5

NO SOLUTION

You start at (10, 1). You move down 1 unit and left 7 units. Where do you end?

Answers

Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.

Moving left or down causes the coordinates to be going negative.

Moving right or up causes the coordinates to be positive.

Original point (10, 1).

Down 1 unit:

(10, 1 - 1) = (10, 0)

Left 7 units:

(10 - 7, 0) = (3, 0)

You end at (3, 0)

Solve for a : -2a-7a=0

Answers

a=0 this is your answer

What is another way to write the equation o 7/8x+3/4=-6​

Answers

Answer:

7+3/8+4 x =-6

C. 7/8 + 3/4x = -6

D. 7/8x - 3/4 = 6

Step-by-step explanation:

In rectangle FGHK, FC = CH = 8.5 cm. What is the area of rectangle FGHK?

8.5 cm
15cm^2
120cm^2
125.5cm^2

Answers

Answer:

we have the width is 8 cm and the diagonal line is 17 cm so to get the length you're going to use Pythagoras theorem so 8 centimetres will be represented by a 17cm will be represented by c then length will be represented by b so b squared is equals to c squared minus a squared say 17 squared - 8 squared 17 squared is 289 while 8 squared is 64 the result will be 225 so b squared is equals to 225 to get b we will get the square root so b is equals to 15 so our length is 15 the area is equals to length x width so 15 * 8 you get 120 square centimetres

120 square centimeters is the area of rectangle FGHK.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

here, we have,

from the given figure,

we have the width is 8 cm and the diagonal line is 17 cm

so to get the length you're going to use Pythagoras theorem

so 8 centimeters will be represented by a

17cm will be represented by c

then length will be represented by b

so b squared is equals to c squared minus a squared

say 17 squared - 8 squared

17 squared is 289 while 8 squared is 64

the result will be 225

so b squared is equals to 225

to get b we will get the square root

so b is equals to 15

so our length is 15

the area is equals to length x width

so 15 * 8

you get 120 square centimeters.

hence, 120 square centimeters is the area of rectangle FGHK.

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Write the steps to solving the following problem.
4 - 3x = -1
Step 1:
Step 2:

Answers

Step 1: Add 3x to both sides to get 4 = 3x - 1

Step 2: Add 1 to both sides to get 5 = 3x

Step 3: Divide by 3 on both sides to get 5/3 = x

Answer:

x = [tex]\frac{5}{3}[/tex]  or [tex]1 \frac{2}{3}[/tex]

Step-by-step explanation:

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

Step 1:

Subtract 4 from both sides of the equation:

4 (-4) - 3x = -1 (-4)

-3x = -1 - 4

-3x = - 5

Step 2:

Divide -3 from both sides of the equation:

(-3x)/-3 = (-5)/-3

x = -5/-3

x = 5/3

x = 1 2/3

Isabel began training for a marathon by running 63 miles during her first week. Each week, she increased the distance she ran by 10% of the previous week's distance.

Which function represents the number of miles she ran during the nth week?​

Answers

Answer:

10% of 63 is 6.3 so 63+6.3=69.3

Step-by-step explanation:

x+6y=-36 solve for y​

Answers

Answer:

y=−1/6x−6

Step-by-step explanation:

Stuffed animals each weighing 1/4 pound are on a scale.the scale shows 1-1/2 pounds how many stuffed animals are on the scale?

Answers

Answer:

6

Step-by-step explanation:

if its 1&1/2 then it would be 6

Answer:

6 stuffed animals!

Step-by-step explanation:

This is the answer because: 1/4+1/4=1/2

and, 1/4+1/4+1/4+1/4=1 cup! put them together and you get your answer :D

1
What is 12_
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7
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Answers

Answer:

12 is a Even Whole number..?

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Answers

Your answer will me x>-2
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what is the ruler postulate

Answers

Answer:

The points on a line can be assigned real number coordinates (think of numbers on a number line). The distance between any two points is their difference.

can someone help me figure this out?

Answers

Answer:

SAS

Step-by-step explanation:

SAS stands for Side Angle Side. Because the two triangles have a side, angle, and side in common, SAS is the correct answer.

24 for 4 quarts
find the rate​

Answers

Answer:

UNIT CONVERSION FACTOR. Length ... 1 gallon = 4 quarts or or or or ... 24 hr. 1 week. 7 days. 7 days. 1 week. 8 fl oz. 1 cup. 1 pt. 2 cups. 2 pts. 1 qt. 1 cup.

Quarts. Gallons. 5 Gallons. 24 oz. Trigger Spray. Bottle. To make a quart of solution use ... concentrate. Dilution. Ratio. Add this amount of concentrate. 1:4. 6.5 oz. 1:4 ... When mixing cleaners, you may find it helpful to fill your container with the.

Step-by-step explanation:

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Answer:

6

Step-by-step explanation:

Alicia drew the figure below on a coordinate plane.

What is the area of the figure?

Answers

Answer:

72

Step-by-step explanation:

you multiply the length and the width

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Answer:A.,C.,D that is the answer

Step-by-step explanation:

Ooh ig oh oh oh oh oh

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Answers

Answer:

im confused

Step-by-step explanation:

Answer:

Do you need me to answer somthing PLEASE tell me if you do!!!!!

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The number 51 is decreased to 26. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

-49%

Step-by-step explanation:

i know this one by doing a long math formula

Answer:

49.0%

Step-by-step explanation:

take the 2 numbers and find the difference

51 - 26 = 25

take the difference and divide it by the orginal number

25÷51 = 0.49019607843

then times that number by 100

(25÷51) × 100 = 49.0196078431

so the number was decreased by 49.0 %

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